5.4 solving radical equations and inequalities · 3/5/2018  · example 3: solving equations with...

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5.4 Solving Radical Equations and Inequalities What is a radical equation? Try to create an example. Example 1: Solving Radical Equations a) 2 "+1 =4 b) 2" − 9 ) −1=2 Steps to solving radical equations. Example 2: Solving Real World Equations

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Page 1: 5.4 Solving Radical Equations and Inequalities · 3/5/2018  · Example 3: Solving Equations with an Extraneous Solution Solve "+1=7"+15 Example 4: Solving an equation with two radicals

5.4SolvingRadicalEquationsandInequalitiesWhatisaradicalequation?Trytocreateanexample.Example1:SolvingRadicalEquations

a) 2 " + 1 = 4 b) 2" − 9) − 1 = 2Stepstosolvingradicalequations.Example2:SolvingRealWorldEquations

Page 2: 5.4 Solving Radical Equations and Inequalities · 3/5/2018  · Example 3: Solving Equations with an Extraneous Solution Solve "+1=7"+15 Example 4: Solving an equation with two radicals

Example3:SolvingEquationswithanExtraneousSolutionSolve" + 1 = 7" + 15Example4:SolvinganequationwithtworadicalsSolve " + 2 + 1 = 3 − "Example5:SolvinganEquationwithaRationalExponentSolve(2")//1 + 2 = 10

Page 3: 5.4 Solving Radical Equations and Inequalities · 3/5/2018  · Example 3: Solving Equations with an Extraneous Solution Solve "+1=7"+15 Example 4: Solving an equation with two radicals

Example6:SolvinganequationwitharationalexponentSolve(" + 30)3/4 = "Example7:SolvingaRadicalInequalitySolve3 " − 1 ≤ 12Homework:3,7,10,13,15,17,22,26,27,31,34,37,41,44,(52challenge),54,62

Page 4: 5.4 Solving Radical Equations and Inequalities · 3/5/2018  · Example 3: Solving Equations with an Extraneous Solution Solve "+1=7"+15 Example 4: Solving an equation with two radicals
Page 5: 5.4 Solving Radical Equations and Inequalities · 3/5/2018  · Example 3: Solving Equations with an Extraneous Solution Solve "+1=7"+15 Example 4: Solving an equation with two radicals
Page 6: 5.4 Solving Radical Equations and Inequalities · 3/5/2018  · Example 3: Solving Equations with an Extraneous Solution Solve "+1=7"+15 Example 4: Solving an equation with two radicals